Pith Number

pith:GBPIGOO4

pith:2016:GBPIGOO4LDAJEZPLZH6GTH2IY2

not attested not anchored not stored refs pending

Phase-Transition Theory of Kerr Black Holes in Electromagnetic Field

Jian-Sheng Wu, Xiao-Bo Gong, Yi Liao

arxiv:1609.00636 v2 · 2016-09-02 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBPIGOO4LDAJEZPLZH6GTH2IY2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:51:16.494402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305e8339dc58c09265ebc9fc699f48c6bb093030486beab3b35311453046bf3f

Aliases

arxiv: 1609.00636 · arxiv_version: 1609.00636v2 · doi: 10.48550/arxiv.1609.00636 · pith_short_12: GBPIGOO4LDAJ · pith_short_16: GBPIGOO4LDAJEZPL · pith_short_8: GBPIGOO4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GBPIGOO4LDAJEZPLZH6GTH2IY2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 305e8339dc58c09265ebc9fc699f48c6bb093030486beab3b35311453046bf3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f5fc126a93031c15c506569f3ccfcc0e171a2ad338a2d099f10558b22265e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-02T15:01:46Z",
    "title_canon_sha256": "b802d0d90620c7c2c61ab51ec0dad3aef8fdf3ef806b8882ffc4e1061d21d1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00636",
    "kind": "arxiv",
    "version": 2
  }
}